Abstract
AbstractWe construct germs of complex manifolds of dimension along projective submanifolds of dimension with ample normal bundle and without nonconstant meromorphic functions whenever . We also show that our methods do not allow the construction of similar examples when by establishing an algebraicity criterion for foliations on projective spaces that generalizes a classical result by Van den Ven characterizing linear subspaces of projective spaces as the only submanifolds with split tangent sequence.
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